The inertia set of nonnegative symmetric sign pattern with zero diagonal

Title:

The inertia set of nonnegative symmetric sign pattern with zero diagonal

Creator:

Gao, Yubin and Shao, Yanling

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:49689a32-01c4-4ca3-89f0-a4da2f33886c
uuid:49689a32-01c4-4ca3-89f0-a4da2f33886c

Subject:

sign pattern, inertia, inertia set, and unique inertia

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The inertia set of a symmetric sign pattern $A$ is the set $i(A)=\lbrace i(B) \mid B=B^T \in Q(A)\rbrace $, where $i(B)$ denotes the inertia of real symmetric matrix $B$, and $Q(A)$ denotes the sign pattern class of $A$. In this paper, a complete characterization on the inertia set of the nonnegative symmetric sign pattern $A$ in which each diagonal entry is zero and all off-diagonal entries are positive is obtained. Further, we also consider the bound for the numbers of nonzero entries in the nonnegative symmetric sign patterns $A$ with zero diagonal that require unique inertia.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

925-934

Source:

Czechoslovak Mathematical Journal | 2003 Volume:53 | Number:4

Harvested from:

CDK

Metadata only:

false